Successfully combining SUGRA hybrid inflation and moduli stabilisation

Abstract

Inflation and moduli stabilisation mechanisms work well independently, and many string-motivated supergravity models have been proposed for them. However a complete theory will contain both, and there will be (gravitational) interactions between the two sectors. These give corrections to the inflaton potential, which generically ruin inflation. This holds true even for fine-tuned moduli stabilisation schemes. Following a suggestion by 0712.3460, we show that a viable combined model can be obtained if it is the Kahler functions (G= K+\ln |W|^2) of the two sectors that are added, rather than the superpotentials (as is usually done). Interaction between the two sectors does still impose some restrictions on the moduli stabilisation mechanism, which are derived. Significantly, we find that the (post-inflation) moduli stabilisation scale no longer needs to be above the inflationary energy scale.

22 pages, 2 figures. v3: refs. added

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• SUGRA Hybrid Inflation with Shift Symmetry
• Non-Gaussianities and Curvature Perturbations from Hybrid Inflation
• No-scale D-term inflation with stabilized moduli
• Consistent Decoupling of Heavy Scalars and Moduli in N=1 Supergravity
• Slow Roll during the Waterfall Regime: The Small Coupling Window for SUSY Hybrid Inflation
• Inflation with racetrack superpotential and matter field
• Combining High-scale Inflation with Low-energy SUSY
• Probing the Supersymmetry-Mass Scale With F-term Hybrid Inflation
• Updated Constraints on Large Field Hybrid Inflation
• Making a Quantum Universe: Symmetry and Gravity
• Moduli Backreaction on Inflationary Attractors
• Non-thermal moduli production during preheating in $\alpha$-attractor inflation models